To the problem of complementability of a periodic frame to a periodic basis
We obtain sufficient conditions (and necessary conditions in the simplest case) of complementability of a periodic frame to a periodic basis for the Euclidean space in terms of monodromy matrices of some linear system of differential equations built by using this periodic frame. We consider the pro...
Збережено в:
| Дата: | 2001 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2001
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/174762 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | To the problem of complementability of a periodic frame to a periodic basis / O.A. Burylko, A.A. Davydenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 458-470. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-174762 |
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dspace |
| spelling |
irk-123456789-1747622021-01-28T01:27:29Z To the problem of complementability of a periodic frame to a periodic basis Burylko, O.A. Davydenko, A.A. We obtain sufficient conditions (and necessary conditions in the simplest case) of complementability of a periodic frame to a periodic basis for the Euclidean space in terms of monodromy matrices of some linear system of differential equations built by using this periodic frame. We consider the problem of complementability for introducing local coordinates in a neighbourhood of a smooth m-dimensional invariant torus of a dynamic system in the Euclidean space R n if the dimensions satisfy the inequality m + 1 < n ≤ 2m. 2001 Article To the problem of complementability of a periodic frame to a periodic basis / O.A. Burylko, A.A. Davydenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 458-470. — Бібліогр.: 9 назв. — англ. 1562-3076 AMS Subject Classification: 34C30, 34C40, 37D10 http://dspace.nbuv.gov.ua/handle/123456789/174762 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We obtain sufficient conditions (and necessary conditions in the simplest case) of complementability of a periodic frame to a periodic basis for the Euclidean space in terms of monodromy matrices of some linear system of differential equations built by using this periodic
frame. We consider the problem of complementability for introducing local coordinates in a
neighbourhood of a smooth m-dimensional invariant torus of a dynamic system in the Euclidean space R
n
if the dimensions satisfy the inequality m + 1 < n ≤ 2m. |
| format |
Article |
| author |
Burylko, O.A. Davydenko, A.A. |
| spellingShingle |
Burylko, O.A. Davydenko, A.A. To the problem of complementability of a periodic frame to a periodic basis Нелінійні коливання |
| author_facet |
Burylko, O.A. Davydenko, A.A. |
| author_sort |
Burylko, O.A. |
| title |
To the problem of complementability of a periodic frame to a periodic basis |
| title_short |
To the problem of complementability of a periodic frame to a periodic basis |
| title_full |
To the problem of complementability of a periodic frame to a periodic basis |
| title_fullStr |
To the problem of complementability of a periodic frame to a periodic basis |
| title_full_unstemmed |
To the problem of complementability of a periodic frame to a periodic basis |
| title_sort |
to the problem of complementability of a periodic frame to a periodic basis |
| publisher |
Інститут математики НАН України |
| publishDate |
2001 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/174762 |
| citation_txt |
To the problem of complementability of a periodic frame to a periodic basis / O.A. Burylko, A.A. Davydenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 458-470. — Бібліогр.: 9 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
AT burylkooa totheproblemofcomplementabilityofaperiodicframetoaperiodicbasis AT davydenkoaa totheproblemofcomplementabilityofaperiodicframetoaperiodicbasis |
| first_indexed |
2023-10-18T22:37:09Z |
| last_indexed |
2023-10-18T22:37:09Z |
| _version_ |
1796155991580999680 |